Bifurcations of the Lagrangian orbits from the classical to the curved 3-body problem

被引：8

作者：

Diacu, Florin ^{[1
,2
]}

机构：

[1] Univ Victoria, Pacific Inst Math Sci, Victoria, BC V8W 2Y2, Canada

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 2Y2, Canada

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2016年 / 57卷 / 11期

关键词：

N-BODY PROBLEM; POLYGONAL HOMOGRAPHIC ORBITS; RELATIVE EQUILIBRIA; INTRINSIC APPROACH; SPACES; EXISTENCE; STABILITY;

D O I：

10.1063/1.4967443

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the 3-body problem of celestial mechanics in Euclidean, elliptic, and hyperbolic spaces and study how the Lagrangian (equilateral) relative equilibria bifurcate when the Gaussian curvature varies. We thus prove the existence of new classes of orbits. In particular, we find some families of isosceles triangles, which occur in elliptic space. Published by AIP Publishing.

引用

页数：20

共 42 条

[31] Periodic orbits as centers of stability in the secular 3D planetary three body problem
Jacques Henrard
Anne-Sophie Libert
Celestial Mechanics and Dynamical Astronomy, 2008, 102 : 177 - 189
[32] Periodic orbits as centers of stability in the secular 3D planetary three body problem
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Libert, Anne-Sophie
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2008, 102 (1-3) : 177 - 189
[33] New families of periodic orbits in the 4-body problem emanating from a kite configuration
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APPLIED MATHEMATICS AND COMPUTATION, 2021, 398
[34] STABILITY OF THE PERIODIC-SOLUTIONS OF THE RESTRICTED 3-BODY PROBLEM REPRESENTING ANALYTIC CONTINUATIONS OF KEPLERIAN RECTILINEAR PERIODIC MOTIONS
AHMAD, A
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 1995, 61 (02) : 181 - 196
[35] Bifurcations of quasi-periodic solutions from relative equilibria in the Lennard–Jones 2-body problem
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Celestial Mechanics and Dynamical Astronomy, 2021, 133
[36] Bifurcations of quasi-periodic solutions from relative equilibria in the Lennard-Jones 2-body problem
Strzelecki, Daniel
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2021, 133 (09)
[37] The manifolds of families of 3D periodic orbits associated to Sitnikov motions in the restricted three-body problem
E. A. Perdios
Celestial Mechanics and Dynamical Astronomy, 2007, 99 : 85 - 104
[38] The manifolds of families of 3D periodic orbits associated to Sitnikov motions in the restricted three-body problem
Perdios, E. A.
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2007, 99 (02) : 85 - 104
[39] The Three-Body Interaction Effect on the Families of 3D Periodic Orbits Associated to Sitnikov Motion in the Circular Restricted Three-Body Problem
Ragos, Omiros
Perdiou, Angela E.
Perdios, Efstathios A.
JOURNAL OF THE ASTRONAUTICAL SCIENCES, 2020, 67 (01) : 28 - 58
[40] Origin and continuation of 3/2, 5/2, 3/1, 4/1 and 5/1 resonant periodic orbits in the circular and elliptic restricted three-body problem
Antoniadou, Kyriaki I.
Libert, Anne-Sophie
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2018, 130 (06)

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